DLMF:10.5.E3 (Q3026)

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Language	Label	Description	Also known as
English	DLMF:10.5.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{W}\left\{J_{\nu}\left(z\right),{H^{(1)}_{% \nu}}\left(z\right)\right\}=J_{\nu+1}\left(z\right){H^{(1)}_{\nu}}\left(z% \right)-J_{\nu}\left(z\right){H^{(1)}_{\nu+1}}\left(z\right)=2i/(\pi z),}}

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DLMF:10.5.E3

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Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2abdec

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Bessel function of the third kind (or Hankel function)

Defining formula

{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}

C10.S2.E5.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathscr{W}}}

C1.S13.Px2.p1.m3abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Sitelinks

Wikipedia(0 entries)

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